18x(x+64)(x+64)(x+64)=0

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Solution for 18x(x+64)(x+64)(x+64)=0 equation: 


Simplifying
18x(x + 64)(x + 64)(x + 64) = 0

Reorder the terms:
18x(64 + x)(x + 64)(x + 64) = 0

Reorder the terms:
18x(64 + x)(64 + x)(x + 64) = 0

Reorder the terms:
18x(64 + x)(64 + x)(64 + x) = 0

Multiply (64 + x) * (64 + x)
18x(64(64 + x) + x(64 + x))(64 + x) = 0
18x((64 * 64 + x * 64) + x(64 + x))(64 + x) = 0
18x((4096 + 64x) + x(64 + x))(64 + x) = 0
18x(4096 + 64x + (64 * x + x * x))(64 + x) = 0
18x(4096 + 64x + (64x + x2))(64 + x) = 0

Combine like terms: 64x + 64x = 128x
18x(4096 + 128x + x2)(64 + x) = 0

Multiply (4096 + 128x + x2) * (64 + x)
18x(4096(64 + x) + 128x * (64 + x) + x2(64 + x)) = 0
18x((64 * 4096 + x * 4096) + 128x * (64 + x) + x2(64 + x)) = 0
18x((262144 + 4096x) + 128x * (64 + x) + x2(64 + x)) = 0
18x(262144 + 4096x + (64 * 128x + x * 128x) + x2(64 + x)) = 0
18x(262144 + 4096x + (8192x + 128x2) + x2(64 + x)) = 0
18x(262144 + 4096x + 8192x + 128x2 + (64 * x2 + x * x2)) = 0
18x(262144 + 4096x + 8192x + 128x2 + (64x2 + x3)) = 0

Combine like terms: 4096x + 8192x = 12288x
18x(262144 + 12288x + 128x2 + 64x2 + x3) = 0

Combine like terms: 128x2 + 64x2 = 192x2
18x(262144 + 12288x + 192x2 + x3) = 0
(262144 * 18x + 12288x * 18x + 192x2 * 18x + x3 * 18x) = 0
(4718592x + 221184x2 + 3456x3 + 18x4) = 0

Solving
4718592x + 221184x2 + 3456x3 + 18x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '18x'.
18x(262144 + 12288x + 192x2 + x3) = 0

Ignore the factor 18.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(262144 + 12288x + 192x2 + x3)' equal to zero and attempt to solve:

Simplifying
262144 + 12288x + 192x2 + x3 = 0

Solving
262144 + 12288x + 192x2 + x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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